Triangular Equilibria in R3BP under the Consideration of Yukawa Correction to Newtonian Potential

We study the triangular equilibrium points in the framework of Yukawa correction to Newtonian potential in the circular restricted three-body problem. The effects of α and λ on the mean-motion of the primaries and on the existence and stability of triangular equilibrium points are analyzed, where α∈...

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Bibliographic Details
Published in:Journal of applied mathematics 2022-06, Vol.2022, p.1-6
Main Authors: Idrisi, M. Javed, Eshetie, Teklehaimanot, Tilahun, Tenaw, Kerebh, Mitiku
Format: Article
Language:English
Subjects:
Critical mass
Equilibrium
Gravity
Motion stability
Parameters
Satellites
Stability analysis
Theory of relativity
Three body problem
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Summary:We study the triangular equilibrium points in the framework of Yukawa correction to Newtonian potential in the circular restricted three-body problem. The effects of α and λ on the mean-motion of the primaries and on the existence and stability of triangular equilibrium points are analyzed, where α∈−1,1 is the coupling constant of Yukawa force to gravitational force, and λ∈0,∞ is the range of Yukawa force. It is observed that as λ⟶∞, the mean-motion of the primaries n⟶1+α1/2 and as λ⟶0, n⟶1. Further, it is observed that the mean-motion is unity, i.e., n=1 for α=0, n>1 if α>0 and n
ISSN:1110-757X
1687-0042
DOI:10.1155/2022/4072418